GCD of 130, 588, 897, 516 Calculator

Given Input numbers are 130, 588, 897, 516

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Greatest Common Divisior

We found the divisors of 130, 588, 897, 516 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 130, 588, 897, 516 is 1.

Therefore, GCD of numbers 130, 588, 897, 516 is 1

Given Input Data is 130, 588, 897, 516

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 130 is 2 x 5 x 13

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 897 is 3 x 13 x 23

Prime Factorization of 516 is 2 x 2 x 3 x 43

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(130, 588) = 38220

GCD(130, 588) = ( 130 x 588 ) / 38220

GCD(130, 588) = 76440 / 38220

GCD(130, 588) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 897

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 897) = 1794

GCD(2, 897) = ( 2 x 897 ) / 1794

GCD(2, 897) = 1794 / 1794

GCD(2, 897) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 516

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

GCD(1, 516) = 516 / 516

GCD(1, 516) = 1

GCD of 130, 588, 897, 516 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 887, 253, 665
• GCD of 640, 266, 310, 375
• GCD of 850, 720, 882, 305
• GCD of 599, 814, 318, 424
• GCD of 510, 661, 360, 233

1. What is the GCD of 130, 588, 897, 516?

GCD of 130, 588, 897, 516 is 1

2. Where do I get the detailed procedure to find GCD of 130, 588, 897, 516?

You can find a detailed procedure to find GCD of 130, 588, 897, 516 on our page.

3. How to find GCD of 130, 588, 897, 516 on a calculator?

You can find the GCD of 130, 588, 897, 516 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.